\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {2\,{x}^{2}y \left( x \right) +{x}^{3}+y \left( x \right) \ln  \left( x \right) x- \left( y \left( x \right)  \right) ^{2}-xy \left( x \right) }{{x}^{2} \left( x+\ln  \left( x \right)  \right) }}=0}
\]